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Finding the Third Proportional to 66,407 and 99,861

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Solution

The third proportional to 66,407 and 99,861 is: 150,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,407 : 99,861 = 99,861 : x
  2. Step 2: Convert to fraction form
    66,407/99,861 = 99,861/x
  3. Step 3: Cross multiply
    66,407x = 99,861 × 99,861
  4. Step 4: Simplify right side
    66,407x = 9,972,219,321
  5. Step 5: Solve for x
    x = 9,972,219,321/66,407
  6. Step 6: Final answer
    x = 150,168.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.